本文以(?)耗最小作为目标,以流动过程中的功率消耗一定作为约束条件,结合能量守恒方程和质量守恒方程得到了对流换热的优化场方程。通过数值计算,对优化场方程下的椭圆管对流换热问题进行了研究。结果表明,椭圆管优化速度场为多纵向涡结构,在这种优化场下换热能力增加的幅度远大于阻力增加的幅度,证明了以(?)耗最小作为目标的优化理论能够用于指导强化换热元件的设计。
By setting entransy consumption as optimization objective and power consumption as constraint condition,optimized field equation coupled with energy conservation equation and mass conservation equation for convective heat transfer are deduced.Numerical investigations for convective heat transfer in an elliptic circular tube based on optimized governing equations are conducted.The results show that there exist longitudinal swirl flows with multi-vortexes in the tube, which leads to heat transfer enhancement at relatively small flow resistance.The present analysis indicates that the investigated optimization method is useful in design of heat transfer enhancement.